8983733068800 has 2640 divisors, whose sum is σ = 41131101369600. Its totient is φ = 1930033889280.

The previous prime is 8983733068787. The next prime is 8983733068813. The reversal of 8983733068800 is 88603373898.

It is an interprime number because it is at equal distance from previous prime (8983733068787) and next prime (8983733068813).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 12091161229 + ... + 12091161971.

It is an arithmetic number, because the mean of its divisors is an integer number (15579962640).

Almost surely, 2^{8983733068800} is an apocalyptic number.

8983733068800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8983733068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20565550684800).

8983733068800 is an abundant number, since it is smaller than the sum of its proper divisors (32147368300800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8983733068800 is a wasteful number, since it uses less digits than its factorization.

8983733068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 777 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 8983733068800 in words is "eight trillion, nine hundred eighty-three billion, seven hundred thirty-three million, sixty-eight thousand, eight hundred".